I can say with some degree of confidence that most of us Protestants see the same sort of splintering and divisions within the Catholic Church as with the Protestants.
There are divisions and differences among people, particularly in the wake of Paul VI's Encyclical Humanae Vitae, after which it became stylish to publically dissent. The difference is that, with the exception of a couple of relatively small sedevacantist groups, the dissenters, at least, consider themselves in communion with the Holy See...and they all consider themselves Catholic.
The problem is Catholics don't want to admit it.
Oh no, we admit what exists and discuss it on a regular basis; otherwise, you would never have heard of it to begin with.
Ah, but most of us Protestants (with the exception of a couple of relatively small groups) would say we are in communion with one another as a body of believers. For all our differences we still consider ourselves Protestants.
In fact we would welcome the Catholics to take communion with us.